13330031220 has 192 divisors, whose sum is σ = 45302906880. Its totient is φ = 3227126400.

The previous prime is 13330031213. The next prime is 13330031243. The reversal of 13330031220 is 2213003331.

13330031220 is a `hidden beast` number, since 1 + 3 + 330 + 0 + 312 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13330031193 and 13330031202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7311229 + ... + 7313051.

It is an arithmetic number, because the mean of its divisors is an integer number (235952640).

Almost surely, 2^13330031220 is an apocalyptic number.

13330031220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13330031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22651453440).

13330031220 is an abundant number, since it is smaller than the sum of its proper divisors (31972875660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13330031220 is a wasteful number, since it uses less digits than its factorization.

13330031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13330031220 its reverse (2213003331), we get a palindrome (15543034551).

The spelling of 13330031220 in words is "thirteen billion, three hundred thirty million, thirty-one thousand, two hundred twenty".